Since the Times was the 'victim' of any theft, I suspect that they'd have to press charges and cooperate in an investigation for anything to be done. They don't appear to be the least bit inclined to go that route.
And small wonder. That last thing they want is to open their records in open court and to have all their reporters and editors called to testify. If they brought criminal charges against Blair, every conservative legal foundation in the country would offer its servives to him free of charge. Can you say "slaughter pen"?